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Finding the Fourth Proportional to 325,303.75, 449,196.24 and 204,646.96

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Solution

The fourth proportional to 325,303.75, 449,196.24 and 204,646.96 is: 282,587.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    325,303.75 : 449,196.24 = 204,646.96 : x
  2. Step 2: Convert to fraction form
    325,303.75/449,196.24 = 204,646.96/x
  3. Step 3: Cross multiply
    325,303.75x = 449,196.24 × 204,646.96
  4. Step 4: Simplify right side
    325,303.75x = 91,926,644,959.43
  5. Step 5: Solve for x
    x = 91,926,644,959.43/325,303.75
  6. Step 6: Final answer
    x = 282,587.11

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.